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Quantum G-spaces and Heisenberg algebra

I. Quantum Groups, Deformation Theory And Representation Theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 1510)

Abstract

In this paper we construct an isomorphism between the quantum Heisenberg algebra and a quantum function algebra. Some applications to the representation theory of quantum groups SU (n, 1) and SU (n + 1) are given.

Keywords

  • Quantum Group
  • Function Algebra
  • Geometric Progression
  • Weyl Algebra
  • Geometric Realization

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© 1992 Springer-Verlag

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Korogodsky, L.I., Vaksman, L.L. (1992). Quantum G-spaces and Heisenberg algebra. In: Kulish, P.P. (eds) Quantum Groups. Lecture Notes in Mathematics, vol 1510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101178

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  • DOI: https://doi.org/10.1007/BFb0101178

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55305-2

  • Online ISBN: 978-3-540-47020-5

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